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2 years ago

11

The equation of the line pass through the points (-4,2) and (-5,2) is

2 answers:

ivanzaharov [21]2 years ago

7 0

Answer:

y = 2

Step-by-step explanation:

Both points are on the horizontal line ...

y = 2

__

<em>Additional comment</em>

A horizontal line has equation y = constant. A vertical line has equation x = constant.

kramer2 years ago

5 0

<h2><u><em>Answer:</em></u></h2><h2><u><em> y = 2</em></u></h2><h2><u><em>Step-by-step explanation:</em></u></h2><h2><u><em>Both points are on the horizontal line ...</em></u></h2><h2><u><em> y = 2</em></u></h2><h2><u><em>__</em></u></h2><h2><u><em>Additional comment</em></u></h2><h2><u><em>A horizontal line has equation y = constant. A vertical line has equation x = constant.</em></u></h2>

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A movie theater has a seating capacity of 329. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults.

kipiarov [429]

Answer:

170 children

74 students

85 adults

Step-by-step explanation:

Given

Let:

$C = Children; S = Students; A = Adults$

For the capacity, we have:

$C + S + A = 329$

For the tickets sold, we have:

$5C + 7S + 12A = 2388$

Half as many as adults are children implies that:

$A = \frac{C}{2}$

Required

Solve for A, C and S

The equations to solve are:

$C + S + A = 329$ -- (1)

$5C + 7S + 12A = 2388$ -- (2)

$A = \frac{C}{2}$ -- (3)

Make C the subject in (3)

$C = 2A$

Substitute $C = 2A$ in (1) and (2)

$C + S + A = 329$ -- (1)

$2A + S + A = 329$

$3A + S = 329$

Make S the subject

$S = 329 - 3A$

$5C + 7S + 12A = 2388$ -- (2)

$5*2A + 7S + 12A = 2388$

$10A + 7S + 12A = 2388$

$7S + 22A = 2388$

Substitute $S = 329 - 3A$

$7(329 - 3A) + 22A = 2388$

$2303 - 21A + 22A = 2388$

$2303 +A = 2388$

Solve for A

$A = 2388 - 2303$

$A = 85$

Recall that: $C = 2A$

$C = 2 * 85$

$C = 170$

Recall that: $S = 329 - 3A$

$S = 329 - 3 * 85$

$S = 329 - 255$

$S = 74$

Hence, the result is:

$C = 170$

$S = 74$

$A = 85$

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Usimov [2.4K]

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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